The NΛΛ–ΞNN bound state problem with NΛΣ and NΣΣ channels

We have extended our method to derive the Faddeev equations of the coupled NΛΛ–ΞNN system by including the NΛΣ and NΣΣ channels. We have applied them to the bound-state problem of the (I,JP)=((1/2),(1/2)+) strangeness −2 three-body system. As in our previous publication, we use as input the two-body interactions obtained from a chiral constituent quark model, exploring different parametrizations of the quark–quark interacting potential. We have found that the main contribution arises from the NΛΣ components. The net effect of the new channels is a reduction in the binding energy of the (I,JP)=((1/2),(1/2)+) strangeness −2 hypertriton by between 80 and 150 keV, although it remains bound for all parametrizations explored. (paper)